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Finding the Fourth Proportional to 420.98, 580.56 and 338.09

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Solution

The fourth proportional to 420.98, 580.56 and 338.09 is: 466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.98 : 580.56 = 338.09 : x
  2. Step 2: Convert to fraction form
    420.98/580.56 = 338.09/x
  3. Step 3: Cross multiply
    420.98x = 580.56 × 338.09
  4. Step 4: Simplify right side
    420.98x = 196,278.63
  5. Step 5: Solve for x
    x = 196,278.63/420.98
  6. Step 6: Final answer
    x = 466.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.